Suppose that f is a function with f'(4) = 0 and f''(4) = 7. Then f has a relative maximum at x = 4. Then f has a relative minimum at x = 4. O Given this information, we cannot determine whether f has a maximum or a minimum at x = 4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that f is a function with f'(4) = 0 and f''(4) = 7.
Then f has a relative maximum at x = 4.
O Then f has a relative minimum at x = 4.
OGiven this information, we cannot determine whether f has a maximum or a minimum at x = 4.
Transcribed Image Text:Suppose that f is a function with f'(4) = 0 and f''(4) = 7. Then f has a relative maximum at x = 4. O Then f has a relative minimum at x = 4. OGiven this information, we cannot determine whether f has a maximum or a minimum at x = 4.
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